Question

(3t+1)(t+5)

Answer 1

make a table like this

Answer 2

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Do you know about FOIL?

Answer 3

You have to distribute. The technique is called FOIL ^ like that guy said. It stands for First Outside Inside Last. So basically you distribute in that order.
Distribute the 3t to the t, then the 3t to the 5, then the 1 to the t, then the 1 to the 5.

You should get
3t^2 + 15t + t + 5